Why Runge-Kutta is SO Much Better Than Euler's Method #somepi

Did some stuff with Euler's Method and Runge-Kutta that I thought I'd share. #somepi Link to interactive Web.VPython simulation: https://trinket.io/library/trinkets/1... Link to code for the video: https://github.com/shawnseanspencer/m... Timestamps: 0:00 Intro 1:29 Harmonic Oscillator 2:34 Euler's Method 5:03 Implicit Euler's Method 8:15 RK2 10:03 RK4 11:57 Outro & Bonus Music Ravel: Gaspard de la Nuit - Ondine (Performer: Bernd Kreuger) https://commons.wikimedia.org/wiki/Fi... “Impact Prelude” - Kevin Macleod    • Impact Prelude   “Late Night Radio” - Kevin Macleod    • Late Night Radio   Credits MIT Runge Kutta Derivation https://web.mit.edu/10.001/Web/Course... Atomic Vibration Clip (electrons technically)    • Scientists in Sweden film moving electron ...   NASA Hurricane Video    • 2015 GEOS-5 Simulation of Hurricane Katrina   Solar System Clip    • Solar System Video - The Best Planet Video...